Answer:
To solve an exponential equation, take the log of both sides, and solve for the variable.
Step-by-step explanation:
Example 1: Solve for x in the equation tex2html_wrap_inline119 .
Solution:
Step 1: Take the natural log of both sides:
displaymath121
Step 2: Simplify the left side of the above equation using Logarithmic Rule 3:
displaymath123
Step 3: Simplify the left side of the above equation: Since Ln(e)=1, the equation reads
displaymath127
Ln(80) is the exact answer and x=4.38202663467 is an approximate answer because we have rounded the value of Ln(80)..
Check: Check your answer in the original equation.
displaymath131
' n ' the 'n'th term
1 4
2 2
3 0
4 -2 .
In general, the 'n'th term of the sequence is A(n) = 6 - 2n .
Answer:
○ 
Step-by-step explanation:
3 → 13 − 16
![\displaystyle \frac{Number\:of\:desired\:[favourable]\:outcomes}{Total\:number\:of\:possible\:outcomes} \\ \\ \frac{3}{12} = \frac{1}{4} = 25\%](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BNumber%5C%3Aof%5C%3Adesired%5C%3A%5Bfavourable%5D%5C%3Aoutcomes%7D%7BTotal%5C%3Anumber%5C%3Aof%5C%3Apossible%5C%3Aoutcomes%7D%20%5C%5C%20%5C%5C%20%5Cfrac%7B3%7D%7B12%7D%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%3D%2025%5C%25)
I am joyous to assist you anytime.
As fraction it would be 6/30 reduced 1/5 and as percentage 20% so 20% of the students were off.<span />
<u>Answer:</u>
Cost of sand = £150
Cost of bricks = £157.5
Cost of cement = £134
Total cost = £441.50
<u>Step-by-step explanation:</u>
We are given that:
2 tonnes of sand is for £75.00 per tonne,
20 bags of cement are for £6.70 per bag,
350 bricks at 45p each,
So, 2 tonnes of sand at £75.00 per tonne = 2 * £75.00 = £150.00
20 bags of cement at £6.70 per bag = 20 * £6.70 = £134.00
350 bricks at 45p each = 350 * £0.45 = £157.50
Therefore, the total cost of all the materials = £150 + £134 + £157.5 = £441.50
